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Transmission of information between complex systems: 1/f resonance
Gerardo Aquino1, Mauro Bologna, Bruce J West
1Faculty of Natural Sciences, Imperial College London, London, United Kingdom. g.aquino@imperial.ac.uk
Summary
Information transport between complex systems is maximized under ideal 1/f noise conditions. Specific power-law index relationships between systems are crucial for effective information transfer and system response.
Area of Science:
- Complex Systems
- Statistical Physics
- Information Theory
Background:
- Studies information transport between complex systems exhibiting non-Poisson renewal fluctuations.
- Focuses on power-law spectra of the form 1/f(3-μ), with μ=2 representing ideal 1/f noise.
Purpose of the Study:
- Investigate information transport dynamics between two similar complex systems.
- Determine conditions for optimal information transfer using a generalized fluctuation-dissipation theorem (FDT).
Main Methods:
- Employs a generalized fluctuation-dissipation theorem (FDT) to analyze information transport.
- Examines the role of power-law spectral indexes (μ(S) and μ(P)) in system response.
Main Results:
- Maximal information transport occurs when both systems exhibit ideal 1/f noise (μ=2).
- For system S to respond when μ(S)<2, the perturbing system P must also have μ(P)<2.
- If μ(P)<μ(S), system S inherits relaxation properties from system P.
- No information transmission occurs in the long-time limit if μ(P)>2.
Conclusions:
- Ideal 1/f noise conditions are essential for maximal information transport between complex systems.
- The relationship between the power-law indexes of interacting systems dictates information transfer efficiency.
- Generalized FDT supports the finding that 1/f noise maximizes information transport.
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